Respuesta :

Answer:

D) [tex]y=(x-3)^2-3[/tex]

Step-by-step explanation:

The first step is to find the vertex.

Start with getting your coefficients:

a = 1, b = -6, c = 6

plug them into the equation [tex]x = -b/2a[/tex]

[tex]6/2[/tex]

[tex]x = 3[/tex]

Plug that back into the original equation to get y = -3

The vertex is going to be (3, -3)

The equation for Vertex Form is given by [tex]f (x) = a(x - h)^2 + k[/tex]

(a) being the coefficient in front of the [tex]x^2[/tex]

(h) being the first point on the vertex   (h,k) ({3},-3)

(k) being the second point on the vertex    (h,k) (3,{-3})

[tex]y=(x-3)^2-3[/tex]

Answer:

d  y = (x-3) ^2 -3

Step-by-step explanation:

y = x^2 -6x+6

Complete the square to help find the vertex form

b= -6

b^2/2 = (-6/2) ^2 = (-3)^2 =9

We need to add 9  (and then subtract 9)

y = x^2 -6x +9+6 -9

y = (x^2 -6x +9)-3

We know that (x-b/2) ^2 is what we have now

y = (x-3) ^2 -3

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